All Genus Topological String Amplitudes and 5-brane Webs as Feynman Diagrams

Details All Genus Topological String Amplitudes and 5-brane Webs as Feynman Diagrams All Genus Topological String Amplitudes and 5-brane Webs as Feynman Diagrams

2002-07-11

arxiv.org/abs/hep-th/0207114v2

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, 18 figure, references added, typos corrected

Scientific paper

A conjecture for computing all genus topological closed string amplitudes on toric local Calabi-Yau threefolds, by interpreting the associated 5-brane web as a Feynman diagram, is given. A propagator and a three point vertex is defined which allows us to write down the amplitude associated with 5-brane web. We verify the conjecture that this amplitude is equal to the closed string partition function by computing integer invariants for resolved conifold and certain curves of low degree in local del Pezzo surfaces, local Hirzebruch surfaces and their various blowups.

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